On p-adic Hermitian Eisenstein series and p-adic Siegel cusp forms

详细信息	查看全文 | 推荐本文 |

• 作者：Toshiyuki Kikuta^a ; ^{kikuta84@gmail.com} ; Yoshinori Mizuno^b ; ¹ ; ^{mizuno@pm.tokushima-u.ac.jp}
• 关键词：p-Adic Eisenstein series ; p-Adic cusp forms ; Jacobi forms ; Hermitian modular forms
• 刊名：Journal of Number Theory
• 出版年：2012
• 期刊代码：78_0022314x
• 类别：mt
• 出版时间：September, 2012
• 卷：132
• 期：9
• 页码：1949-1961
• 文件大小：205 K

摘要

We study two kinds of p-adic Hermitian Eisenstein series of degree 2 over . It is shown that they are actual Hermitian modular forms of level p. In particular, the one is just a Hermitian Eisenstein series of level p. Moreover, the cuspidality of p-adic limits of Siegel cusp form is discussed based on some examples.